Find the probability of randomly selecting 4 good quarts of milk in succession from a cooler containing 20 quarts of which 5 have spoiled
The question asked is related to probability, which is a topic in Mathematics. After calculating the probability of selecting a good quart of milk four times in a row (considering that the quantity decreases each time a good quart is selected), the probability equates approximately to 0.3 or 30%.
Explanation:The given question is a statistical problem related to probability and involves the concept of independent events. In this case, each quart of milk being good or spoiled is an independent event, meaning the outcome of one event doesn't affect the other.
In the cooler, there are 20 quarts of milk in total, 15 of which are good (20 - 5 spoilt quarts equals 15 good ones). Hence, the probability of selecting a good quart of milk at first is 15/20, or 0.75.
After removing one good quart, there are now 14 good quarts out of 19. Hence, the probability of drawing a second good quart is 14/19. We can calculate the probabilities for the third and fourth quarts in the same way, resulting in 13/18 and 12/17 respectively.
Since these are independent events, the probability of all these events happening is the product of their individual probabilities. Therefore, the answer is 0.75* (14/19)* (13/18)* (12/17), which is approximately 0.3 or 30%.
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The temperature in Minneapolis changed from -7°F at 6 AM to 7°F at noon. how much did the temperature increase?
Pre cal/cal master needed
F(x)= 2x^2 + 3x-2 and g(x)= x-2
find equation for f(g(x))
My answer : 2x^2 -8 +3x-8
True answer: 2x^2 -5x
How do we get true answer? I plugged in g(x) into the x's of F(x) but got a waaaaaay different answer.
which is 625 written as a power of 5 (exponets) A. 4*5 B.3*5 C.5*3 D.5*4
Find the numerator of the equivalent fraction with denominator 12 :
1/2
The numerator of the equivalent fraction with denominator 12 for 1/2 is 6. This comes from multiplying both the numerator and denominator of 1/2 by the same number (6).
Explanation:To find the numerator of the equivalent fraction with denominator 12 for 1/2, we simply multiply both parts of the fraction by the same number such that the denominator becomes 12. We know that 2 * 6 equals 12, so we multiply the numerator 1 by 6 as well, which gives us the numerator 6.
Therefore, the fraction 1/2 is equivalent to 6/12.
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93 times the sixth power of ten
how many significant digits are in 23,000
Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are . If point D divides in the ratio 4 : 5, the coordinates of point D are
Answer:
I just had to do this problem and,
B is (10, -4) and D is (58/9, -2)
Step-by-step explanation:
chloe is sorting items at a thrift store. She finds a box of tiny blocks that has 1,344 written on the outside. She can see that each layer in the box has 64 blocks. How many layers of blocks are there?
Answer: There are 21 layers of blocks.
Step-by-step explanation:
Since we have given that
Number of blocks in a box = 1344
Number of blocks in each layer = 64
We need to find the number of layer of blocks.
So, the number of layer of blocks is given by
[tex]\dfrac{1344}{64}\\\\=21[/tex]
Hence, there are 21 layers of blocks.
Kendra and her horse completed the barrel racing course in 15.839 seconds. What is this number rounded to the nearest tenth? :explain how you decided
what is the value of the underlined digit? 587
Prove that 1=2 with well arranged steps and justify each step
50 POINTS!!! DO NOT ANSWER JUST FOR THE POINTS!!! IF YOU DO, IF YOU DO ALL OF YOUR EARNED POINTS WILL BE TAKEN~~~~~~~~~~~~~~~
Find this a bit complicated. Please explain and show work with steps.
Suppose f(x)=–x²–4x+4. Compute the following:
A. f(–5)+f(5)=
B. f(–5)–f(5)=
A. f(-5) = -(-5)^2-4(-5)+4 = -1
f(5) = -(5)^2-4(5)+4 = -41
-1 + -41 = -42
B. -1 - -41 = 40
What's S divided by 8=2 ?.....Answer needed ASAP.
Janae bought wallpaper that cost $25.90 for each roll of 14 square feet. Find the unit price.
Answer:
The unit price is $1.85
Step-by-step explanation:
Janae bought a roll of wallpaper that cost = $25.90
Each roll is of = 14 square feet
Cost per square feet = [tex]\frac{25.90}{14}[/tex] = $1.85
The unit price is $1.85
If Logx (1 / 8) = - 3 / 2, then x is equal to
A. - 4
B. 4
C. 1 / 4
D. 10
answer is C 1/4
see attached picture, it is not exact but with rounding it comes out correct.
An urn contains 8 red balls, 8 white balls, and 8 blue balls, and a sample of 5 balls is drawn at random without replacement. Compute the probility that all of the balls in the sample are the same color.
Solve for A. R = x(A + B) A = (R - B)/x A = (B - Rx)/x A = (R - Bx)/x
In the given equation of the provided problem, the solution for A is A = [tex]\frac{R - xB}{x}[/tex].
Mathematically, an equation is a statement that asserts the equivalency of two expressions. It consists of two hands, the left-hand side( LHS) and the right-hand side( RHS), separated by an equal sign( =). The LHS and RHS can be numbers, variables, constants, or further complex fine expressions.
To solve for A in each of the given equations, we'll isolate the variable A on one side of the equation. Let's go through each equation:
R = x(A + B)
To solve for A, we'll start by expanding the expression on the right side:
R = xA + xB
R - xB = xA
Divide both sides of the equation by x to solve for A:
A = [tex]\frac{R - xB}{x}[/tex].
Therefore, the solution for A is A = [tex]\frac{R - xB}{x}[/tex].
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Find the area of the rectangle?! Please :)
Specify 3 fractions with different denominators that have an LCD of 24
The motorcycle engine on a kawasaki ninja 1000 has a displacement of 1043 cubic-centimeters (cm3). in order to calculate its engine displacement in cubic-inches (in3) what unit conversion factor would you use to multiply the given displacement
[tex]\boxed{\boxed{ \ 0.061 \frac{inch^3}{cm^3}\ }}[/tex]
Further explanationWe will calculate the unit conversion factor used to convert its engine displacement from cubic-centimeters to cubic-inches.
The relationships between inch and cm are as follows:
[tex]\boxed{ \ 1 \ inch = 2.54 \ cm\ }[/tex]
Inches and cm represent units of length.
Made into fractions, 1 inch as the denominator and 2.54 cm as the numerator.
[tex]\boxed{ \ \frac{1 \ inch}{2.54 \ cm} \ }[/tex]
As a unit conversion factor of volume, the numerator and the denominator in cubic.
[tex]\boxed{ \ \frac{(1 \ inch)^3}{(2.54 \ cm)^3} \ }[/tex]
[tex]\boxed{ \ \frac{1 \ inch^3}{16.387 \ cm^3} \ }[/tex]
Thus, we get the unit conversion factor
[tex]\boxed{\boxed{ \ 0.061 \frac{inch^3}{cm^3}\ }}[/tex]
Let's use this unit conversion factor to calculate its engine displacement in new units.
[tex]\boxed{= 1,043 \ cm^3 \times 0.061 \ \frac{inch^3}{cm^3}}[/tex]
Note for cm³ units that have been crossed out.
The conversion result is [tex] \ \boxed{ \ 63.623 \ inch^3\ }[/tex]
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55% of what number is 22?
Central Middle School has 2,470 students and the ratio of students to teacher is 26:1. How many new teachers are needed to reduce this ratio to 19:1?
One fifth of the employees of Delta Industries, Inc., work in the Southeastern region. If the company employs 252 workers in that region, what is the total number of employees working for the company?
One fifth of the employees of Delta Industries, Inc., work in the Southeastern region. The total number of employees working for the company is 1260.
Explanation:If one fifth of the employees of Delta Industries, Inc. work in the Southeastern region, and there are 252 workers in that region, we can find the total number of employees by multiplying 252 by 5.
5 times 252 equals 1260. Therefore, the total number of employees working for the company is 1260.
Solve for x: 1/4(4x+15)=24
Point Q is the midpoint of segment PR. If PQ= (15x-2) and QR= (5x+3) find the value of Q.
1/3 (9x+3)=3x+1 what does x equal
Find the true balance:
Check register balance:$463.80
Bank statement balance: $592.53
Outstanding checks: $49.80 and $86.93
Service charge: $8.00
A. $592.53
B. $584.53
C. $327.07
D. $455.80
Answer:
D. $455.80
Step-by-step explanation:
True Balance = Bank Statement - Outstanding Checks
= $592.53 - ($49.80 + $86.93)
= $455.80
Convert 1.2x10^(-2) into standard form
n standard form, we express it without using scientific notation, so [tex]1.2\times10^{-2}[/tex] becomes 0.012.
We have,
In scientific notation, a number is expressed as the product of a coefficient between 1 and 10 and a power of 10.
Given [tex]1.2\times10^{-2}[/tex],
We can rewrite it by moving the decimal point two places to the left to obtain 0.012.
The coefficient 0.012 is between 0.01 and 0.1, which is equivalent to 1/100 or 1 divided by 10 raised to the power of 2.
Thus, we can write it as 1.2 multiplied by 10 raised to the power of -2.
Thus,
In standard form, we express it without using scientific notation, so [tex]1.2\times10^{-2}[/tex] becomes 0.012.
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Fine the missing coordinate of the ordered pair